Generalized (p, q)-analogues of Dragomir-Agarwal’s inequalities involving Raina’s function and applications

Miguel Vivas-Cortez, Muhammad Zakria Javed, Muhammad Uzair Awan, Artion Kashuri, Muhammad Aslam Noor

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

1 Cita (Scopus)

Resumen

In this paper, we introduce the class of generalized strongly convex functions using Raina’s function. We derive two new general auxiliary results involving first and second order (p, q)-differentiable functions and Raina’s function. Essentially using these identities and the generalized strongly convexity property of the functions, we also found corresponding new generalized post-quantum analogues of Dragomir-Agarwal’s inequalities. We discuss some special cases about generalized convex functions. To support our main results, we offer applications to special means, to hypergeometric functions, to Mittag-Leffler functions and also to (p, q)-differentiable functions of first and second order that are bounded in absolute value.

Idioma originalInglés
Páginas (desde-hasta)11464-11486
Número de páginas23
PublicaciónAIMS Mathematics
Volumen7
N.º6
DOI
EstadoPublicada - 13 abr. 2022

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© 2022 the Author(s), licensee AIMS Press.

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